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Finding the Third Proportional to 80,500 and 171,394

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Solution

The third proportional to 80,500 and 171,394 is: 364,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,500 : 171,394 = 171,394 : x
  2. Step 2: Convert to fraction form
    80,500/171,394 = 171,394/x
  3. Step 3: Cross multiply
    80,500x = 171,394 × 171,394
  4. Step 4: Simplify right side
    80,500x = 29,375,903,236
  5. Step 5: Solve for x
    x = 29,375,903,236/80,500
  6. Step 6: Final answer
    x = 364,918.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.